Author Affiliations
1State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, Zhejiang, China2College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, Chinashow less
Fig. 1. Basic principle of 360° floating display system based on human eye tracking
Fig. 2. Display system workflow
Fig. 3. Image stitching method and detection effect of stitching place. (a) Image stitching method; (b) detection effect of stitching place
Fig. 4. Calculation method of vertical viewpoint angle
Fig. 5. Catadioptric cylindrical projection optical system
Fig. 6. 360° display algorithm workflow
Fig. 7. MTF curves of catadioptric cylindrical projection optical system
Fig. 8. Mapping relations in different coordinate spaces
Fig. 9. Principles of predistortion correction and polar coordinate system conversion. (a) Correction principle; (b) before predistortion correction; (c) after predistortion correction
Fig. 10. Physical structure of 360° floating display system. (a) System structure; (b) DLP projector optical and mechanical structure
Fig. 11. Error of actual reference fiducial point and fitting reference fiducial point in cylindrical screen space. (a) Error of SFIS; (b) error of FFIS
Fig. 12. Cylindrical screen distortion correction results. (a) Target correction result; (b) before correction; (c) actual correction result
Fig. 13. Error between target correction result and actual correction result in camera space
Fig. 14. Display effect of different viewpoint positions. (a) Looking straight on left side; (b) looking straight in middle; (c) looking straight on right side; (d) looking down on left side; (e) looking down in middle; (f) looking down on right side
Parameter | Surface No. | r | k | α2 | α4 | α6 | α8 |
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Value | 21 | -57.201 | -0.052 | 0 | 7.362×10-7 | -7.799×10-11 | 3.414×10-14 |
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Table 1. Parameters of aspheric mirror
Normalized field of view | Target position /mm | Real position /mm | Relative distortion /% |
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1.000 | -35.000 | -40.411 | 15.46 | 0.875 | -62.500 | -69.139 | -10.62 | 0.750 | -90.000 | -92.593 | 2.88 | 0.625 | -117.500 | -117.015 | -0.41 | 0.500 | -145.000 | -147.678 | 1.84 | 0.375 | -172.000 | -193.761 | 12.65 |
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Table 2. Relative distortion of different fields of view
Parameter | Value |
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Frame rate of DLP projector /(frame·s-1) | 60 | Resolution of DMD /(pixel×pixel) | 1280×720 | Diagonal length of DMD /mm | 7.93 | Diameter of cylinder screen /mm | 206 | Display height /mm | 160 | Frame rate of display system /(frame·s-1) | 40 | Viewing distance /m | 0.25-1.50 |
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Table 3. Parameters of display system